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136138752 = 212331231
BaseRepresentation
bin10000001110101…
…01000000000000
3100111011120021000
420013111000000
5234322420002
621301532000
73242105661
oct1007250000
9314146230
10136138752
116a935072
1239714000
1322287999
141411b368
15be4261c
hex81d5000

136138752 has 104 divisors (see below), whose sum is σ = 403652480. Its totient is φ = 45342720.

The previous prime is 136138733. The next prime is 136138753. The reversal of 136138752 is 257831631.

It is a super-2 number, since 2×1361387522 = 37067519592235008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136138753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109977 + ... + 111207.

Almost surely, 2136138752 is an apocalyptic number.

136138752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201826240).

136138752 is an abundant number, since it is smaller than the sum of its proper divisors (267513728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136138752 is an equidigital number, since it uses as much as digits as its factorization.

136138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1236 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 136138752 is about 11667.8512160552. The cubic root of 136138752 is about 514.4311461719.

The spelling of 136138752 in words is "one hundred thirty-six million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1231 1536 1728 2048 2304 2462 3072 3456 3693 4096 4608 4924 6144 6912 7386 9216 9848 11079 12288 13824 14772 18432 19696 22158 27648 29544 33237 36864 39392 44316 55296 59088 66474 78784 88632 110592 118176 132948 157568 177264 236352 265896 315136 354528 472704 531792 630272 709056 945408 1063584 1260544 1418112 1890816 2127168 2521088 2836224 3781632 4254336 5042176 5672448 7563264 8508672 11344896 15126528 17017344 22689792 34034688 45379584 68069376 136138752